# An exact solution for a quasi-two-dimensional exclusion process

#### An exact solution for a quasi-two-dimensional exclusion process

- Event time: 11:30am until 12:30pm
- Event date: 28th October 2020
- Speaker: Professor Arvind Ayyer (Indian Institute of Science, Bangalore, India)
- Location: Online - see email.

### Event details

We consider a disordered asymmetric exclusion process with two kinds of particles (labelled 1 and 2, say) on a finite two-dimensional toroidal lattice. The dynamics is controlled by particles of type 1, which only move horizontally, with individual hopping rates. The motion of particles of type 2 depends on the relative position of these with respect to the 1's, and can be both horizontal and vertical. For this process, we compute the partition function, densities and currents exactly. We observe a novel microscopic Scott Russell linkage phenomenon: the current of 2's in the vertical direction is the same as that of 1's in the horizontal direction.

This is joint work with P. Nadeau.

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